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Izvestiya: Mathematics, 2015, Volume 79, Issue 4, Pages 645–667
DOI: https://doi.org/10.1070/IM2015v079n04ABEH002756 (Mi im8163) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Pullback attractors for the model of motion of dilute aqueous polymer solutions

V. G. Zvyagin, S. K. Kondrat'ev

Voronezh State University
English version PDF (364 kB) Citations (7) Russian version article
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DOI: https://doi.org/10.1070/IM2015v079n04ABEH002756
Abstract: We study the qualitative dynamics of weak solutions in the non-autonomous model of motion of dilute aqueous polymer solutions using the theory of pullback attractors of trajectory spaces. We establish the existence of weak solutions for this model, define a family of trajectory spaces, introduce the notions of a trajectory pullback attractor and a minimal pullback attractor and prove the existence of these attractors.
Keywords: pullback attractors, trajectory space, dilute aqueous polymer solutions, weak solutions, existence theorems.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00041
Russian Science Foundation 14-21-00066
Ministry of Education and Science of the Russian Federation 1.1539.2014/K
This paper was written with the financial support of RFBR (grant no. 13-01-00041), the Russian Science Foundation (project no. 14-21-00066), and the Ministry of Science and Education of Russia in the sphere of scientific activity in 2014–2016 (project no. 1.1539.2014/K).
Received: 21.08.2013
Revised: 08.01.2015
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 35B41, 35D30, 35Q35, 37L05, 37L30
Language: English
Original paper language: Russian
Citation: V. G. Zvyagin, S. K. Kondrat'ev, “Pullback attractors for the model of motion of dilute aqueous polymer solutions”, Izv. Math., 79:4 (2015), 645–667
Citation in format AMSBIB
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\paper Pullback attractors for the model of motion of dilute aqueous polymer solutions
\jour Izv. Math.
\yr 2015
\vol 79
\issue 4
\pages 645--667
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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